Accession Number : ADA567759


Title :   Approximating Smooth Step Functions Using Partial Fourier Series Sums


Corporate Author : ARMY TANK AUTOMOTIVE RESEARCH DEVELOPMENT AND ENGINEERING CENTER WARREN MI


Personal Author(s) : Bylsma, Wesley


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a567759.pdf


Report Date : Sep 2012


Pagination or Media Count : 40


Abstract : This report documents several continuous functions that can approximate a discrete step function. The functions considered include the cosine, cubic polynomial, bezier polynomial, and hyperbolic tangent. Based on the error condition used, the Hyperbolic Tangent (Tanh) and Cosine functions provide the best approximations depending on the degree of smoothness desired.


Descriptors :   *FOURIER SERIES , *STEP FUNCTIONS , APPROXIMATION(MATHEMATICS) , POLYNOMIALS , SMOOTHING(MATHEMATICS)


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE